A generator polynomial $x^5+x^4+x^2+1$ is given. Encode the data bit sequence $1010001101$ using the generator polynomial and construct the code$-$word on the transmitter side. Also, evaluate the code at the receiver end and prove that there is no error

A four bit message, $1101$ is transmitted through a network with even parity. Now, according to Hamming code policy, examine the following:

a$)$ The code$-$word of the transmitter side.

b$)$ If the receiver has received an error code where $5$th bit is flipped then how the error is detected and corrected in the receiver side.